Journal of Engineering and Applied Sciences

Year: 2017
Volume: 12
Issue: 1
Page No. 95 - 98

Effect of Polynomial Shift in the Method for Finding the Largest Eigenvalue of a Polynomial

Authors : N.F. Ibrahim and N.A. Mohamed

References

Chang, K.C., K. Pearson and T. Zhang, 2008. Perron-frobenius theorem for nonnegative tensors. Commun. Math. Sci., 6: 507-520.
Direct Link  |  

Chang, K.C., K.J. Pearson and T. Zhang, 2011. Primitivity the convergence of the NQZ method and the largest eigenvalue for nonnegative tensors. SIAM J. Matrix Anal. Appl., 32: 806-819.
CrossRef  |  Direct Link  |  

Friedland, S., S. Gaubert and L. Han, 2013. Perron frobenius theorem for nonnegative multilinear forms and extensions. Linear Algebra Appl., 438: 738-749.
Direct Link  |  

Gaubert, S. and J. Gunawardena, 2004. The perron frobenius theorem for homogeneous, monotone functions. Trans. Am. Math. Soc., 356: 4931-4950.
Direct Link  |  

Ibrahim, N.F., 2014. An algorithm for the largest eigenvalue of nonhomogeneous nonnegative polynomials. Numer. Algebra Control Optim., 4: 75-91.

Jacobi, M.N. and P.R. Jonsson, 2011. Optimal networks of nature reserves can be found through eigenvalue perturbation theory of the connectivity matrix. Ecol. Appl., 21: 1861-1870.
CrossRef  |  PubMed  |  Direct Link  |  

Liu, Y., G. Zhou and N.F. Ibrahim, 2010. An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor. J. Comput. Appl. Math., 235: 286-292.
Direct Link  |  

Ng, M., L. Qi and G. Zhou, 2009. Finding the largest eigenvalue of a nonnegative tensor. SIAM J. Matrix Anal. Appl., 31: 1091-1099.
CrossRef  |  Direct Link  |  

Soares, C.G. and W. Fricke, 2011. Advances in Marine Structures. CRC Press, Boca Raton, Florida, ISBN-13:978-0-203-80811-5, Pages: 730.

Varga, R., 1965. Matrix Iterative Analysis. Prentice Hall, Englewood Cliffs, New Jersey,.

Design and power by Medwell Web Development Team. © Medwell Publishing 2024 All Rights Reserved